垂直于一维六方准晶双材料界面裂纹的反平面问题  

Anti-plane Problem of a Crack Perpendicular to Interface of One-dimensional Hexagonal Quasicrystal Bi-material

作　　者：张炳彩[1] 张来萍 ZHANG Bingcai;ZHANG Laiping(Xinhua College,Ningxia University,Yinchuan 750021,China)

机构地区：[1]宁夏大学新华学院,宁夏银川750021

出　　处：《河南财政金融学院学报（自然科学版）》2024年第2期26-29,共4页Journal of Henan Finance University(Natural Science Edition)

基　　金：宁夏大学新华学院科学研究基金项目(22XHKY06)。

摘　　要：利用Fourier变换方法和切比雪夫多项式展开法,研究垂直于一维六方准晶双材料界面裂纹的反平面问题。给出合理的边界条件,将垂直裂纹问题转化为奇异积分方程组的求解,再引入位错密度函数,由切比雪夫多项式法求得问题的数值解。The anti-plane problem of a crack perpendicular to the interface of one-dimensional hexagonal quasicrystal bi-material is discussed by using Fourier transform and Chebyshev polynomials expansion method.Given the reasonable boundary conditions,the problem of perpendicular crack is transformed into a system of singular integral equations,and the dislocation density function is introduced to obtain the numerical solution of the problem by the Chebyshev polynomials method.

关 键 词：准晶 双材料 Fourier变换方法 裂纹 积分方程 

分 类 号：O346.1[理学—固体力学]